In the paper, the authors find two explicit formulas and recover a recursive formula for the generalized Motzkin numbers. Consequently, the authors deduce two explicit formulas and a recursive formula ...

Abstract: Using recursive equations (RE) to replace the traditional table lookup is beneficial to reduce the amount of data storage required for the chip design. However, the traditional cosine ...

Abstract: Walsh-Hadamard transform (WHT) has many applications in digital signal processing including bioinformatics. While there are efficient algorithms for implementing this transform such as fast ...

This study presents recursive relations on the permanents of k – tridiagonal Toeplitz matrices which are obtained by the reduction of the matrices to the other matrices whose permanents are easily ...

In this note, we develop a simple recursive formula for the efficient computation of all central moments of a multivariate lognormal distribution up to a given total order. This recursive scheme is ...

In this paper we use the Mellin convolution theorem, which is related to Perron's formula. Also we introduce new explicit formulae for arithmetic function which generalize the explicit formulae of ...